Control of Partial Differential Equations: A port-Hamiltonian approach

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Hamiltonian dynamics is a well-known topic within mathematics and physics. Combining this concept with concepts from system and control theory has led to the port-Hamiltonian system class. For systems described by ordinary differential equations this approach is well-studied and has resulted in new control strategies. For systems described by partial differential equations there are several promising approaches, but the theory is much less mature than for ordinary differential equations. In this project we want to bring together experts working in the field of port-Hamiltonian systems and its neighboring fields. This will lead to more insight in the analysis and controller design for this systems class. Part of this project is also the training of young professionals in the field of infinite-dimensional port-Hamiltonian systems theory.